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Higher-Order Numerical Methods for Transient Wave Equations

Higher-Order Numerical Methods for Transient Wave Equations (Hardback, illustrated edition)

By Cohen, Gary

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Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order n...umerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given.
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ISBN 9783540415985
Released NZ 6 Nov 2001
Publisher Springer
Format Hardback, illustrated edition
Series Scientific Computation
Internationally sourced; ships 6-14 working days

Full details for this title

ISBN-13 9783540415985
Stock Available
Status Internationally sourced; ships 6-14 working days
Publisher Springer
Imprint Springer
Released 6 Nov 2001
Publication Country Germany Germany
Format Hardback, illustrated edition
Edition illustrated edition
Author(s) By Cohen, Gary
Series Scientific Computation
Category Differential Equations
Number of Pages 349
Dimensions Width: 155mm
Height: 235mm
Spine: 21mm
Dewey Code 515.353
Weight 791g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Physics, Engineering mathematics, Acoustics, Computer science_xMathematics
NBS Text Mathematics
ONIX Text College/higher education;Professional and scholarly